Details

sample89.0ms

Algorithm

intervals

Results

66.0ms	232×	body	10240	exit
10.0ms	256×	body	80	valid
1.0ms	1×	body	5120	valid
0.0ms	1×	body	2560	valid

simplify1.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	8
1	18	8
2	34	8
3	69	8
4	138	8
5	333	8
6	1205	8
done	5000	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b

(sinh c)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `sinh-def` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`

Counts

1 → 8

Calls

1 calls:

1.0ms

(sinh c)

series65.0ms

Counts

1 → 3

Calls

1 calls:

64.0ms

(sinh c)

simplify1.3s

Counts

11 → 11

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	30	66
1	61	65
2	127	61
3	274	61
4	689	61
5	2906	61
done	5000	61

prune28.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 1/6 (pow c 3)) (+ (* 1/120 (pow c 5)) c))
0.0b	(* 1/120 (pow c 5))
0.1b	(* 1/6 (pow c 3))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
19×	`associate-r`
13×	`add-exp-log`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`unpow-prod-down` `add-log-exp`
7×	`add-cbrt-cube` `unswap-sqr`
6×	`associate-l` `prod-exp`
4×	`cube-prod` `sqr-pow`
3×	`pow1` `sum-log`
2×	`pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod`
1×	`+-commutative` `cube-mult` `associate-+r+` `flip3-+` `unpow3` `flip-+`

Counts

3 → 69

Calls

3 calls:

10.0ms	(+ (* 1/6 (pow c 3)) (+ (* 1/120 (pow c 5)) c))
5.0ms	(* 1/120 (pow c 5))
7.0ms	(* 1/6 (pow c 3))

series136.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(+ (* 1/6 (pow c 3)) (+ (* 1/120 (pow c 5)) c))
49.0ms	(* 1/120 (pow c 5))
36.0ms	(* 1/6 (pow c 3))

simplify483.0ms

Counts

78 → 78

Iterations

Useful iterations: 2 (128.0ms)

Iter	Nodes	Cost
0	120	803
1	303	708
2	1037	666
done	5000	666

prune200.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 1/120 (pow c 5))
0.1b	(* 1/6 (pow c 3))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
19×	`associate-r`
12×	`add-exp-log`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`unpow-prod-down`
7×	`unswap-sqr`
6×	`associate-l` `prod-exp` `add-cbrt-cube`
4×	`cube-prod` `sqr-pow`
2×	`pow1` `pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod` `add-log-exp`
1×	`cube-mult` `unpow3`

Counts

2 → 56

Calls

2 calls:

5.0ms	(* 1/120 (pow c 5))
7.0ms	(* 1/6 (pow c 3))

series88.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(* 1/120 (pow c 5))
40.0ms	(* 1/6 (pow c 3))

simplify2.4s

Counts

62 → 62

Iterations

Useful iterations: 2 (97.0ms)

Iter	Nodes	Cost
0	96	484
1	217	416
2	719	396
3	3404	396
done	5000	396

prune342.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	19
1	20	19
done	20	19

end0.0ms

sample2.8s

Algorithm

intervals

Results

2.2s	7844×	body	10240	exit
317.0ms	8004×	body	80	valid
7.0ms	8×	body	5120	valid
2.0ms	4×	body	2560	valid
1.0ms	5×	body	1280	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	640	valid